On stability and H∞ control of switched systems with random switching signals

Weiming Xiang; James Lam; Panshuo Li

doi:10.1016/j.automatica.2018.06.001

On stability and H_∞ control of switched systems with random switching signals

Weiming Xiang, James Lam, Panshuo Li

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

In this paper, the stability analysis and H_∞ control problems for a class of continuous-time switched systems with a random switching signal are addressed. The dwell time of the switched systems is characterized with a fixed part and a random part. A new stability criterion, which is equivalent to a necessary and sufficient condition developed previously, is established first, and then it is reformulated in terms of linear matrix inequalities. Based on the stability analysis result, L₂-gain performance analysis and H_∞ control problems are studied. Several numerical examples are given to illustrate the effectiveness of our results.

Original language	English (US)
Pages (from-to)	419-425
Number of pages	7
Journal	Automatica
Volume	95
DOIs	https://doi.org/10.1016/j.automatica.2018.06.001
State	Published - Sep 2018
Externally published	Yes

Keywords

H control
Random switching
Stabilization
Stochastic stability

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/j.automatica.2018.06.001

Cite this

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title = "On stability and H∞ control of switched systems with random switching signals",

abstract = "In this paper, the stability analysis and H∞ control problems for a class of continuous-time switched systems with a random switching signal are addressed. The dwell time of the switched systems is characterized with a fixed part and a random part. A new stability criterion, which is equivalent to a necessary and sufficient condition developed previously, is established first, and then it is reformulated in terms of linear matrix inequalities. Based on the stability analysis result, L2-gain performance analysis and H∞ control problems are studied. Several numerical examples are given to illustrate the effectiveness of our results.",

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AU - Xiang, Weiming

AU - Lam, James

AU - Li, Panshuo

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N2 - In this paper, the stability analysis and H∞ control problems for a class of continuous-time switched systems with a random switching signal are addressed. The dwell time of the switched systems is characterized with a fixed part and a random part. A new stability criterion, which is equivalent to a necessary and sufficient condition developed previously, is established first, and then it is reformulated in terms of linear matrix inequalities. Based on the stability analysis result, L2-gain performance analysis and H∞ control problems are studied. Several numerical examples are given to illustrate the effectiveness of our results.

AB - In this paper, the stability analysis and H∞ control problems for a class of continuous-time switched systems with a random switching signal are addressed. The dwell time of the switched systems is characterized with a fixed part and a random part. A new stability criterion, which is equivalent to a necessary and sufficient condition developed previously, is established first, and then it is reformulated in terms of linear matrix inequalities. Based on the stability analysis result, L2-gain performance analysis and H∞ control problems are studied. Several numerical examples are given to illustrate the effectiveness of our results.

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KW - Stabilization

KW - Stochastic stability

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